• Title/Summary/Keyword: mathematical assessment

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Application of Probabilistic Fracture Mechanics Technique Using Monte Carlo Simulation (몬테카를로 시뮬레이션을 이용한 확률론적 파괴역학 수법의 적용성 검토)

  • Lee, Joon-Seong;Kwak, Sang-Log;Kim, Young-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.10
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    • pp.154-160
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    • 2001
  • For major structural components periodic inspections and integrity assessments are needed for the safety. However, many flaws are undetectable because sampling inspection is carried out during in-service inspection. Probabilistic integrity assessment is applied to take into consideration of uncertainty and variance of input parameters arise due to material properties and undetectable cracks. This paper describes a Probabilistic Fracture Mechanics(PFM) analysis based on the Monte Carlo(MC) algorithms. Taking a number of sampling data of probabilistic variables such as fracture toughness value, crack depth and aspect ratio of an initial surface crack, a MC simulation of failure judgement of samples is performed. for the verification of this analysis, a comparison study of the PFM analysis using a commercial code, mathematical method is carried out and a good agreement was observed between those results.

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Teaching of the value of mathematics: in the perspective of Michael Polanyi's philosophy (수학의 가치 교육: 폴라니의 인식론을 중심으로)

  • Nam, JinYoung
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.63-81
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    • 2014
  • Korean students have shown high achievements on the cognitive domain of mathematics in a range of international assessment tests. On the affective domain, however, significantly low achievements have been reported. Among the factors in the affective domain, this article discusses on the value of mathematics in the perspective of Michael Polanyi's philosophy, which centers personal knowledge and tacit knowing. Polanyi emphasizes abstractness and generalization in mathematics accompanied by intellectual beauty and passion. In his perspective, therefore, utilitarian aspects and usefulness of mathematics imparted through linguistic representations have limits in motivating students to learn mathematics. Students must be motivated from recognition of the value of mathematics formed through participating authentic mathematical problem solving activity with immersion, tension, confusion, passion, joy and the like.

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An Evaluative Study of the Operational Safety of High-Speed Railway Stations Based on IEM-Fuzzy Comprehensive Assessment Theory

  • Wang, Li;Jin, Chunling;Xu, Chongqi
    • Journal of Information Processing Systems
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    • v.16 no.5
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    • pp.1064-1073
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    • 2020
  • The general situation of system composition and safety management of high-speed railway terminal is investigated and a comprehensive evaluation index system of operational security is established on the basis of railway laws and regulations and previous research results to evaluate the operational security management of the high-speed railway terminal objectively and scientifically. Index weight is determined by introducing interval eigenvalue method (IEM), which aims to reduce the dependence of judgment matrix on consistency test and improve judgment accuracy. Operational security status of a high-speed railway terminal in northwest China is analyzed using the traditional model of fuzzy comprehensive evaluation, and a general technique idea and references for the operational security evaluation of the high-speed railway terminal are provided. IEM is introduced to determine the weight of each index, overcomes shortcomings of traditional analytic hierarchy process (AHP) method, and improves the accuracy and scientificity of the comprehensive evaluation. Risk factors, such as terrorist attacks, bad weather, and building fires, are intentionally avoided in the selection of evaluation indicators due to the complexity of risk factors in the operation of high-speed railway passenger stations and limitation of the length of the paper. However, such risk factors should be considered in the follow-up studies.

The controllable fluid dash pot damper performance

  • Samali, Bijan;Widjaja, Joko;Reizes, John
    • Smart Structures and Systems
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    • v.2 no.3
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    • pp.209-224
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    • 2006
  • The use of smart dampers to optimally control the response of structures is on the increase. To maximize the potential use of such damper systems, their accurate modeling and assessment of their performance is of vital interest. In this study, the performance of a controllable fluid dashpot damper, in terms of damper forces, damper dynamic range and damping force hysteretic loops, respectively, is studied mathematically. The study employs a damper Bingham-Maxwell (BingMax) model whose mathematical formulation is developed using a Fourier series technique. The technique treats this one-dimensional Navier-Stokes's momentum equation as a linear superposition of initial-boundary value problems (IBVPs): boundary conditions, viscous term, constant Direct Current (DC) induced fluid plug and fluid inertial term. To hold the formulation applicable, the DC current level to the damper is supplied as discrete constants. The formulation and subsequent simulation are validated with experimental results of a commercially available magneto rheological (MR) dashpot damper (Lord model No's RD-1005-3) subjected to a sinusoidal stroke motion using a 'SCHENK' material testing machine in the Materials Laboratory at the University of Technology, Sydney.

A Comparative study of mathematics curriculum in Finland (핀란드 수학과 교육과정 비교 분석)

  • Shin, Joon-Sik
    • Education of Primary School Mathematics
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    • v.14 no.3
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    • pp.225-236
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    • 2011
  • This study basically investigated the mathematics curriculum of Finland. The curriculum is similar with the 2009's revised mathematics curriculum of Korea in terms of formats, but is different in terms of contents. The mathematics curriculum of Finland is organized into grade bands: grade 1-2, grade 3-5, grades 6-9. And also, it provides the purpose of each grade bands, the purpose of each content areas, the expectation of assessment tested at the end of grade bands.

Reliability of Maintained Hull Girders of Two Bulk Carrier Designs Subjected to Fatigue and Corrosion

  • Soares, C.Guedes;Garbatov, Y.
    • Journal of Ship and Ocean Technology
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    • v.3 no.1
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    • pp.27-41
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    • 1999
  • The objective of the paper is to study the impact of changing the traditional hull design of bulk carriers by providing them with a double hull while keeping the same deadweight. It is demonstrated that by introducing the double hull the structural reliability is increased throughout the entire life and also the extend of the needed repair is reduced. The results are obtained with recently developed mathematical tools for the reliability assessment of ship hulls subjected to the existence of multiple cracks both in the stiffeners and in the plating and it models the crack growth process. The effect of corrosion is represented as time dependent. The long-term stress range acting on the elements is defined as a function of the local transverse pressure of the internal cargo and outside sea water combined with the stresses resulting from the longitudinal bending of the hull, which is a combined with the stresses resulting from the longitudinal bending of the hull, which is a combineation of horizontal and vertical bending moments. The effect of maintenance actions is modelled as a stochastic process. The results show that a different design of the midship section improves the structural safety and also the economy with respect to structural repair of bulk carriers.

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Evaluating the Storage Capacity of a Container Terminal: A Simulation Approach (컨테이너터미널의 장치장 보관능력 평가: 시뮬레이션접근)

  • 박병인
    • Journal of Korea Port Economic Association
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    • v.21 no.1
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    • pp.59-72
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    • 2005
  • There were many theoretical studies using mathematical models about a yard storage capacity in a container terminal so far, but a simulation approach is newly popularizing. The reason why the simulation studies about yard storage capacity were a few was that once the most important part in a container terminal was a quay part. However, from the economic crisis year of 1977, the yard storage part in a container terminal became a critical resource because of the shortage of SOC investment resources. Therefore, after discharging or loading even through there was a waiting in the quay part or not, it can be swiftly improved the efficiency of a container terminal if it was handled rapidly or smoothly in a container yard. So the accurate assessment of yard storage capacity in a container terminal was needed. This study planed to assess the operation capability of a container yard via a simulation model. The model included many chatacteristics of three Korean container terminals such as Gamman Hanjin, Uam, and Hutchinson Busan at the period of 1999 to 2000. The 95% percentile was chosen as a criterion for judging of the storage capability by the recommendation of KPC (1998) and JWD (1998). A simulation approach with system dynamics concept considering the multi-directional impacts within the related variables can probavly foresee the future storage capacity of a terminal not just the past.

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RISK-INFORMED REGULATION: HANDLING UNCERTAINTY FOR A RATIONAL MANAGEMENT OF SAFETY

  • Zio, Enrico
    • Nuclear Engineering and Technology
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    • v.40 no.5
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    • pp.327-348
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    • 2008
  • A risk-informed regulatory approach implies that risk insights be used as supplement of deterministic information for safety decision-making purposes. In this view, the use of risk assessment techniques is expected to lead to improved safety and a more rational allocation of the limited resources available. On the other hand, it is recognized that uncertainties affect both the deterministic safety analyses and the risk assessments. In order for the risk-informed decision making process to be effective, the adequate representation and treatment of such uncertainties is mandatory. In this paper, the risk-informed regulatory framework is considered under the focus of the uncertainty issue. Traditionally, probability theory has provided the language and mathematics for the representation and treatment of uncertainty. More recently, other mathematical structures have been introduced. In particular, the Dempster-Shafer theory of evidence is here illustrated as a generalized framework encompassing probability theory and possibility theory. The special case of probability theory is only addressed as term of comparison, given that it is a well known subject. On the other hand, the special case of possibility theory is amply illustrated. An example of the combination of probability and possibility for treating the uncertainty in the parameters of an event tree is illustrated.

End-to-end system level modeling and simulation for medium-voltage DC electric ship power systems

  • Zhu, Wanlu;Shi, Jian;Abdelwahed, Sherif
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.10 no.1
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    • pp.37-47
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    • 2018
  • Dynamic simulation is critical for electrical ship studies as it obtains the necessary information to capture and characterize system performance over the range of system operations and dynamic events such as disturbances or contingencies. However, modeling and simulation of the interactive electrical and mechanical dynamics involves setting up and solving system equations in time-domain that is typically time consuming and computationally expensive. Accurate assessment of system dynamic behaviors of interest without excessive computational overhead has become a serious concern and challenge for practical application of electrical ship design, analysis, optimization and control. This paper aims to develop a systematic approach to classify the sophisticated dynamic phenomenon encountered in electrical ship modeling and simulation practices based on the design intention and the time scale of interest. Then a novel, comprehensive, coherent, and end-to-end mathematical modeling and simulation approach has been developed for the latest Medium Voltage Direct Current (MVDC) Shipboard Power System (SPS) with the objective to effectively and efficiently capture the system behavior for ship-wide system-level studies. The accuracy and computation efficiency of the proposed approach has been evaluated and validated within the time frame of interest in the cast studies. The significance and the potential application of the proposed modeling and simulation approach are also discussed.

Calibration of Double-skin Simulation Model Depending on Configuration And Impact of Local Weather Information (이중외피 형상에 따른 모델 보정과 local 기상 정보의 필요성)

  • Yoon, Kyeong-Soo;Kim, Deuk-Woo;Lee, Keon-Ho;Park, Cheol-Soo
    • 한국태양에너지학회:학술대회논문집
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    • 2009.11a
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    • pp.142-147
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    • 2009
  • In order to achieve performance assessment and optimal control of a double-skin system, an accurate simulation model is required. In the previous study, a lumped simulation model of such system was developed. As a follow-up of the previous research, the first objective of this paper is to investigate how the mathematical model should be calibrated according to system configuration(cavity width, depth, height, airflow pattern, local environment, etc.). And the second objective of this study is to discuss the effect of local weather information. In conclusion, this paper describes that the model should be recalibrated according to configuration. And it is necessary to have local weather information for accurate prediction and optimal control of the system.

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